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56416332336 = 24371327774651
BaseRepresentation
bin110100100010101011…
…001110101000110000
312101121202021121220020
4310202223032220300
51411020040113321
641530045443440
74035022625010
oct644253165060
9171552247806
1056416332336
1121a20604551
12ab25870580
135421177c90
142a32955c40
151702d1a4c6
hexd22acea30

56416332336 has 160 divisors (see below), whose sum is σ = 179478179328. Its totient is φ = 14870476800.

The previous prime is 56416332319. The next prime is 56416332367. The reversal of 56416332336 is 63323361465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12127611 + ... + 12132261.

Almost surely, 256416332336 is an apocalyptic number.

56416332336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56416332336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89739089664).

56416332336 is an abundant number, since it is smaller than the sum of its proper divisors (123061846992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56416332336 is a wasteful number, since it uses less digits than its factorization.

56416332336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7453 counting only the distinct ones).

The product of its digits is 699840, while the sum is 42.

The spelling of 56416332336 in words is "fifty-six billion, four hundred sixteen million, three hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2777 4368 4651 5554 8331 9302 11108 13953 16662 18604 19439 22216 27906 32557 33324 36101 37208 38878 44432 55812 58317 60463 65114 66648 72202 74416 77756 97671 108303 111624 116634 120926 130228 133296 144404 155512 181389 195342 216606 223248 233268 241852 252707 260456 288808 311024 362778 390684 423241 433212 466536 483704 505414 520912 577616 725556 758121 781368 846482 866424 933072 967408 1010828 1269723 1451112 1516242 1562736 1692964 1732848 2021656 2539446 2902224 3032484 3385928 4043312 5078892 6064968 6771856 10157784 12129936 12915827 20315568 25831654 38747481 51663308 77494962 90410789 103326616 154989924 167905751 180821578 206653232 271232367 309979848 335811502 361643156 503717253 542464734 619959696 671623004 723286312 1007434506 1084929468 1175340257 1343246008 1446572624 2014869012 2169858936 2350680514 2686492016 3526020771 4029738024 4339717872 4701361028 7052041542 8059476048 9402722056 14104083084 18805444112 28208166168 56416332336